Quadratic integrals of geodesic flow, webs, and integrable billiards
arXiv:2004.12374 · doi:10.1016/j.geomphys.2020.104041
Abstract
We present a geometric interpretation of integrability of geodesic flow by quadratic integrals in terms of the web theory and construct integrable billiards on surfaces admitting such integrals.
10 pages